Grossmisma
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Factorization
2-30 × 3-13 × 5-1 × 7 × 117 × 137
Monzo
[-30 -13 -1 1 7 7⟩
Size in cents
0.016410293¢
Name
grossmisma
Color name
3o71o7zg2, Septholo-azogu comma,
Septholo-azogu 2nd
FJS name
[math]\text{7d2}^{7,11,11,11,11,11,11,11,13,13,13,13,13,13,13}_{5}[/math]
Special properties
reduced
Tenney height (log2 nd)
105.853
Weil height (log2 max(n, d))
105.853
Wilson height (sopfr(nd))
279
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19982 bits
Comma size
unnoticeable
open this interval in xen-calc
Interval information |
Septholo-azogu 2nd
(Shannon, [math]\sqrt{nd}[/math])
- Not to be confused with Grossma.
The grossmisma is an unnoticeable 13-limit comma with a ratio of 2-30 × 3-13 × 5-1 × 7 × 117 × 137 = 8559537565427849/8559456430325760 and a value of approximately 0.0164 cents. The grossmisma is significant on account of it being the interval between a stack of seven grossmas and one 21/20 chromatic semitone in Just Intonation - this significance in relation to grossma being the source of its name. Tempering it out leads to a form of grossmismic temperament.